Mathematics Revision Booklet

EdExcel Mathematics (1MA1)

Paper 1 Non Calculator: Thursday 24 th May

Higher 1MA1/1H or Foundation 1MA1/1F

Weighting 33.33%

80 Marks 1 hour 30 minutes

Paper 2 Calculator: Thursday 7 th June

Higher 1MA1/2H or Foundation 1MA1/2F

Weighting 33.33%

80 Marks 1 hour 30 minutes

Paper 3 Calculator: Tuesday 12 th June

Higher 1MA1/3H or Foundation 1MA1/3F

Weighting 33.33%

80 Marks 1 hour 30 minutes

Grade Descriptors

Foundation: Grades 1 to 5

Higher: Grades 5 to 9

A good GCSE pass is considered a grade 4 or above

Grade 3

Algebra

3 Coordinates in four quadrants3 Plotting straight line graphs3 Position to term rules2 Sequences and Rules3 Sequences of square, triangular and cube numbers3 Using Formulae

Geometry & Measures

3 3-D Shapes3 Congruent and similar shapes3 Geometrical terminology and diagrams3 Measuring lines and angles3 Properties of quadrilaterals3 Properties of triangles3 Translations and vectors3 Using standard units

Number

2 Add and Subtract integers3 Decimals2 Dividing integers3 Listing outcomes2 Multiplying integers2 Ordering numbers2 Place value3 Prime numbers3 Using standard units

Probability3 Frequency Trees3 Probability of equally likely outcomes

Ratio & Proportion

3 Convert standard units 3 Express one quantity as a fraction of another 3 Use ratio notation 3 Use scale factors, diagrams and maps

Statistics

3 Charts and Diagrams3 Pie Charts3 Types of data3 Vertical Line Charts

Grade 4

Topic Grade Test Title

Algebra

4 Changing the subject 4 Collecting like terms 3 Coordinates in four quadrants 4 Expressions 4 Factorise single bracket 4 Finding the equation of a line 4 Graphs of linear functions 4 Graphs of quadratic functions 4 Linear equations one unknown 4 Multiplying single brackets 4 Non-standard real life graphs 4 nth term of a linear sequence 4 Number machines 3 Plotting straight line graphs 3 Position to term rules 3 Sequences of square, triangular and cube numbers 4 Substitution 4 Using "y = mx + c" 3 Using Formulae

Geometry & Measures

3 3-D Shapes 4 Alternate and corresponding angles 4 Area of a circle 4 Areas of composite shapes 4 Areas of triangles, trapezia and parallelograms 4 Bearings 4 Circle terminology 4 Circumference of a circle 3 Congruent and similar shapes 4 Congruent triangles 4 Enlargements and fractional SF 3 Geometrical terminology and diagrams 3 Measuring lines and angles 4 Perimeter of 2D shapes 4 Plans and elevations 4 Polygons 3 Properties of quadrilaterals 3 Properties of triangles 4 Solve geometrical problems 3 Translations and vectors 3 Using standard units 4 Vector arithmetic 4 Volume of prisms

Number

4 Adding and subtracting fractions 4 Checking calculations 4 Compound measures 4 Converting metric units 3 Decimals 4 Estimation 4 Fractions and percentages 4 Fractions and ratio problems

4 Interpret calculator displays 4 LCM and HCF 3 Listing outcomes 4 Multiples and factors 4 Multiplying fractions 4 Operations 4 Order of operations 4 Powers 3 Prime numbers 4 Rounding 4 Standard Form 4 Terminating decimals and fractions 3 Using standard units

Probability

3 Frequency Trees 4 Mutually exclusive sum 3 Probability of equally likely outcomes 4 Relative Frequency 4 Tables and Grids 4 Theoretical Probability 4 Unbiased Samples 4 Venn Diagrams

Ratio and Proportion

4 Compare Fractions, Decimals and Percentages 4 Compare lengths, area, volume 4 Comparing quantities as a ratio 3 Convert standard units 4 Division of a quantity as a ratio 4 Express one quantity as a % of another 3 Express one quantity as a fraction of another 4 Percentage change 4 Problems involving ratio 4 Proportion and ratio 4 Ratio and fractions 4 Ratio Sharing 3 Use ratio notation 3 Use scale factors, diagrams and maps

Statistics

3 Charts and Diagrams 4 Comparing data using graphs 4 Comparing Distributions 4 Correlation 3 Pie Charts 4 Population 4 Sampling 4 Scatter Diagrams 4 Time series 3 Types of data 3 Vertical Line Charts

Grade 5

Topic Grade Test Title

Algebra

5 Algebraic argument 5 Algebraic terminology 4 Changing the subject 4 Collecting like terms 5 Cubic and Reciprocal graphs 5 Deduce quadratic roots algebraically 5 Derive an equation 5 Equation of a line 5 Expand the product of two binomials 4 Expressions 4 Factorise single bracket 5 Factorising quadratic expressions

5Fibonacci, quadratic and simple geometric sequences

4 Finding the equation of a line 5 Graphical solution to equations 4 Graphs of linear functions 4 Graphs of quadratic functions 5 Inequalities on number lines 5 Linear equations 4 Linear equations one unknown 4 Multiplying single brackets 4 Non-standard real life graphs 4 nth term of a linear sequence 4 Number machines 5 Quadratic graphs 5 Reciprocal real-life graphs 5 Simplify indices 5 Simplify surds 5 Solve linear inequalities in one variable 4 Substitution 4 Using "y = mx + c" 5 Writing formulae and expressions

Geometry & Measures

4 Alternate and corresponding angles 5 Arc lengths and sectors 4 Area of a circle 4 Areas of composite shapes

4Areas of triangles, trapezia and parallelograms

4 Bearings 4 Circle terminology 4 Circumference of a circle 4 Congruent triangles 5 Derive triangle results 4 Enlargements and fractional SF 5 Enlargements and negative SF 5 Loci 4 Perimeter of 2D shapes 4 Plans and elevations 4 Polygons 5 Pythagoras

5 Similarity and Congruence 4 Solve geometrical problems 5 Standard constructions 5 Surface Area 5 Trigonometric ratios 4 Vector arithmetic 5 Volume 4 Volume of prisms

Number

4 Adding and subtracting fractions 5 Calculating with fractions 4 Checking calculations 4 Compound measures 4 Converting metric units 5 Error intervals 4 Estimation 4 Fractions and percentages 4 Fractions and ratio problems 5 Index Laws 4 Interpret calculator displays 4 LCM and HCF 5 Limits of accuracy 4 Multiples and factors 4 Multiplying fractions 4 Operations 4 Order of operations 4 Powers 4 Rounding 4 Standard Form 4 Terminating decimals and fractions

Probability

4 Mutually exclusive sum 5 Probability of dependent events 5 Probability of independent events 4 Relative Frequency 4 Tables and Grids 4 Theoretical Probability 4 Unbiased Samples 4 Venn Diagrams

Ratio and Proportion

4Compare Fractions, Decimals and Percentages

4 Compare lengths, area, volume 4 Comparing quantities as a ratio 5 Compound Units 4 Division of a quantity as a ratio 4 Express one quantity as a % of another 5 Gradient & the rate of change 5 Growth and decay 5 Interpret Proportion 5 Percentage change 4 Percentage change 4 Problems involving ratio 5 Problems with compound units

4 Proportion and ratio 4 Ratio and fractions 4 Ratio Sharing 5 Scale factors and similarity 5 Simple Interest and Financial Maths 5 Solve Proportion Problems

Statistics

4 Comparing data using graphs 4 Comparing Distributions 4 Correlation 5 Histograms with equal class widths 4 Population 4 Sampling 4 Scatter Diagrams 5 Scatter graphs 4 Time series

Grade 6

Topic Grade Test Title

Algebra

5 Algebraic argument 6 Algebraic fractions 5 Algebraic terminology 5 Cubic and Reciprocal graphs 5 Deduce quadratic roots algebraically

5 Derive an equation 5 Equation of a line 5 Expand the product of two binomials 5 Factorising quadratic expressions

5Fibonacci, quadratic and simple geometric sequences

5 Graphical solution to equations 6 Identifying parallel lines 5 Inequalities on number lines 6 Inverse functions 5 Linear equations 6 Linear inequalities in two variables 6 nth term of a quadratic sequence 6 Quadratic equations (factorisation) 6 Quadratic equations (graphical methods) 5 Quadratic graphs 5 Reciprocal real-life graphs 6 Represent linear inequalities 5 Simplify indices 5 Simplify surds 6 Simultaneous equations (linear) 5 Solve linear inequalities in one variable 5 Writing formulae and expressions

Geometry & Measures

5 Arc lengths and sectors 6 Combined transformations 6 Congruence and Similarity 5 Derive triangle results 5 Enlargements and negative SF 5 Loci 5 Pythagoras 5 Similarity and Congruence 5 Standard constructions 6 Standard trigonometric ratios 5 Surface Area 5 Trigonometric ratios 5 Volume

Number

5 Calculating with fractions 5 Error intervals 6 Finance 1 5 Index Laws 5 Limits of accuracy 6 Powers and Roots 6 Product of prime factors 6 Using Pi

Probability5 Probability of dependent events 5 Probability of independent events

Ratio and Proportion

5 Compound Units 6 Direct and inverse proportion 5 Gradient & the rate of change 5 Growth and decay 5 Interpret Proportion

5 Percentage change 5 Problems with compound units 5 Scale factors and similarity 5 Simple Interest and Financial Maths 5 Solve Proportion Problems

Statistics

6 Boxplots 6 Cumulative frequency 5 Histograms with equal class widths 6 Histograms with unequal class widths 6 Quartiles and Interquartile Range 5 Scatter graphs

Grade 7

Topic Grade Test Title

Algebra

6 Algebraic fractions 7 Composite functions 7 Expand the product of two or more binomials 7 Factorising difficult quadratic expressions 7 Geometric Sequences 7 Graphs of exponential functions 6 Identifying parallel lines

6 Inverse functions 6 Linear inequalities in two variables 6 nth term of a quadratic sequence 6 Quadratic equations (factorisation) 6 Quadratic equations (graphical methods) 7 Quadratic equations (needing re-arrangement) 7 Quadratic equations (quadratic formula) 7 Real-life exponential graphs 6 Represent linear inequalities 7 Represent quadratic inequalities 6 Simultaneous equations (linear) 7 Simultaneous equations (non-linear) 7 Solve quadratic inequalities 7 Translations and reflections of a function 7 Turning points & completing the square

Geometry & Measures

7 Area of a triangle 6 Combined transformations 6 Congruence and Similarity 7 Cosine Rule 7 Pythagoras and trig 2D and 3D 7 Sine Rule 6 Standard trigonometric ratios

Number

6 Finance 1 7 Index Laws (negative and fractional) 6 Powers and Roots 6 Product of prime factors 7 Product rule 7 Recurring Decimals 7 Upper and lower bounds 6 Using Pi

Probability 7 Conditional Probability Ratio and

Proportion 6 Direct and inverse proportion 7 General iterative processes

Statistics

6 Boxplots 6 Cumulative frequency 6 Histograms with unequal class widths 6 Quartiles and Interquartile Range

Grade 8

Topic Grade Test Title

Algebra

8 Algebra and Proof 7 Composite functions 7 Expand the product of two or more binomials 7 Factorising difficult quadratic expressions 7 Geometric Sequences 8 Gradients and area under a graph 7 Graphs of exponential functions 8 Graphs of trigonometric functions 8 Quadratic equations (completing the square)

7 Quadratic equations (needing re-arrangement) 7 Quadratic equations (quadratic formula) 7 Real-life exponential graphs 7 Represent quadratic inequalities 7 Simultaneous equations (non-linear) 7 Solve quadratic inequalities 7 Translations and reflections of a function 7 Turning points & completing the square

Geometry & Measures

7 Area of a triangle 8 Circle theorems 7 Cosine Rule 7 Pythagoras and trig 2D and 3D 7 Sine Rule 8 Vector arguments and proof

Number

7 Index Laws (negative and fractional) 7 Product rule 7 Recurring Decimals 8 Surds 7 Upper and lower bounds

Probability 7 Conditional Probability Ratio and

Proportion 7 General iterative processes

Grade 9

Topic Grade Test Title

Algebra

8 Algebra and Proof

9 Approximate solutions to equations using iteration. 9 Equation of a circle 9 Equation of a tangent

8 Gradients and area under a graph 8 Graphs of trigonometric functions

8 Quadratic equations (completing the square) Geometry &

Measures 8 Circle theorems 8 Vector arguments and proof

Number 8 Surds Ratio and

Proportion9 Gradients and the rate of change

The Language of Maths Exams: What does it all mean?What they say Example What they meanComplete Complete this sum... Complete

the following table...Complete the sentence

Finish this off for me (Fill in the blanks)

Find Find the sum of...Find the square root of...

Tell me what the sum of...Tell me the square root of...

Simplify Simplify e + 7e Write as simply as possible/ put this in its easiest form i.e. e +7e = 8e

Solve Solve 9x = 45 Tell me what..(x in this case)...equals i.e. x=5

Factorise Factorise 8x + 12 Find the highest common factor of both terms and rewrite the expression with a bracket.

Work Out Work out 62 Tell me what 62 isYou must show your working

If you don’t show your working you won’t get all the marks for this question!

Calculate Calculate the average speed... You will need to do a sum (with or/and without your calculator) to get the answer

Explain Explain why this is wrong Write down a reason why this is wrong/ tell me why this is wrong using a reason

Prove Prove that the perimeter is 3x - 7

Use information you are given and algebra methods you know to rewrite the expression in the form given.

Give the units of your answer

Make sure you put down what your answer is measured in i.e. cm, Km, mm, cm2 , mph, Km/h, cm3...(you’ll get a mark for this alone!!)

Describe fully Describe fully the single transformation...

Write down a full description of what is happeningi.e. for Enlargement you need to give the scale factor and the centre of enlargement.For a Rotation you need to give the centre of rotation, amount of degrees you are rotating and the direction (clockwise or anti-clockwise)For a Reflection you need to give the equation of the line you are reflecting inFor a translation (move) you need to give the column vector (how much you are moving in the x-direction and y-direction)

NOT TO SCALE Usually next to diagrams/drawings

You can’t measure the lines/angles on this shape as they are not drawn accurately!

Use ruler and compasses only in this question

You will only need to use your ruler and your compass – make sure you have one of each!!! If not, ask for one in the exam!

equidistant Equal distanceMap (coordinates & transformations)

Will map point A onto point B Will move point A to where point B is

Plot Plot the graph on the axis Mark each coordinate onto the set of axis and join up as appropriate.

Fill in the gaps Anywhere there is a blank space (gap) you should put an answer

Arrange Arrange the following... Put in a certain orderascending From smallest to biggestdescending From biggest to smallestselect Select two of these numbers... Choose from the given list and use them to

answer the question!equivalent The same Explain how to do it

Write down how you would work out the answer, but don’t actually work it out!

measure Measure the line above... Measure the angle below...

Use your ruler or protractor to find the length of a line or the size of an angle

Draw and label Draw and label an angle of 50o... Draw and label a line of 6cm

Draw the angle/line with your protractor/ruler and then write the length of the line/size of the angle on your drawing

Give a reason for your choice

Give the answer and then a reason for why it is the answer (you’ll get a 1 mark for the answer and 1 mark for the reason in a 2 mark question)

represents showsGive your answer in its simplest form

Put your answer as simple as possible. i.e. for fractions always put your fraction as simple/small as possible so 3/6 in its simplest form is 1/2

hence Hence, solve this... Using what you have just done, answer this question

Give a mathematical reason

Using your Maths knowledge give a reason for your answer

estimate Estimate 4.7 x 6.2 Don’t work out exactly but round up the numbers and then tell me the answer i.e. 5 x 6 = 30

Construct Draw using a ruler and compasses.This is a sketch of... This is not drawn accurately so you can’t

just measure the sides/angles to get the answer. Use the labels in the sketch to answer the question

Show that Show that 13/50 is the same as 26%

Tell us why...

Show your working clearly

Write down every step of you working out your answer – you’ll get marks for your working out

Describe Describe the correlation... Tell me what the correlation is...Tell me...Make one comment

Make one comment about... tell me one thing you notice about...

Common Mistakes: Foundation and Higher

Common Mistakes: Higher Only

Exam preparation tips

Do not revise, but practice exam questions

The best way to attain your target grade is to practice as many exam style questions as you can; the more exam questions you do, the better you will do.

Do not practice until you get it right, practice until you cannot get it wrong

Often students think they know a topic, but the only way you know is by getting questions right every time. When you practice exam questions, always correct your mistakes and learn from them, then a little time later try the question again and see if you no longer make the same mistake.

To attain your target grade you must not lose marks on easier questions

If you are targetted a grade 5, you must make sure you do not lose marks on questions graded 1 to 4. Practice these easier questions and make sure you consistently answer them correctly every time. Once you have done this then look to get as many marks as you can at grade 5. Achieve this and you may even surprise yourself with a grade 6 on results day!

Know how to use your calculator

We recommend buying the Casio FX-83GT Plus because you can type it in exactly as you see it and it gives you answers exactly as you should write them. It is freely available at all supermarkets and major shops. It is essential the calculator is in the correct mode, be especially careful that it is set to degrees.

You can access a free course to get the best out of your calculator here: http://the-calculator-guide.teachable.com

Check to see you can get these answers on your calculator:

1) 232 = 529

2) 173 = 4913

3) 67 = 279936

4) √576 = 24

5) ∛46656 = 36

6) 13.7+5.862.54×3.17 =2.429271474

7) √21.55.8−2.36 = 1.347909665

8) 45.6×1230.342−0.282

= 150774.1935

9) √2.52+3.75

3.9−1.7 = 1.437398936

10) sin35 = 0.573576436

11) cos-10.6 = 53.13010235

12) √ tan 60+1tan 60−1 = 1.931851653

Key Number Skills

• Divide by ½ is the same as Multiply by 2• Divide by 2 is the same as multiply by ½• Divide by ¼ is the same as Multiply by 4• Divide by 4 is the same as multiply by ¼

Dividing by a smaller number gives bigger answers!• 100 ÷ 10 = 10• 100 ÷ 1 = 100• 100 ÷ 0.1 = 1 000• 100 ÷ 0.01 = 10 000

Revision websites

There are many websites out there, but the best ones for revision are the following:

The PiXL Maths App

You can download this on your phone and practice questions on the move and you can check your progress. You will need a login, which we have signed you up for, if you do not have it yet then see your class teacher or Mr Russell.

Maths Genie: www.mathsgenie.co.uk

Maths Genie is a free website where you can find exam questions, youtube revision clips and fully worked solutions.

Maths Watch: https://vle.mathswatch.com

You can visit the website or download this on your phone where you can watch revision clips and practice questions with complete solutions. You will need a login, which we have signed you up for, if you do not have it yet then see your class teacher or Mr Russell.

Other useful websites

Mr Barton Maths: www.mrbartonmaths.com

Corbett Maths: www.corbettmaths.com

Just Maths: www.online.justmaths.co.uk

MyPortal username: Parksidestudents

MyPortal password: Parkside

SamLearning: www.samlearning.com

Mathsgenie: www.mathsgenie.co.uk